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Finding the Fourth Proportional to 15,226.16, 22,843.13 and 6,338.54

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Solution

The fourth proportional to 15,226.16, 22,843.13 and 6,338.54 is: 9,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.16 : 22,843.13 = 6,338.54 : x
  2. Step 2: Convert to fraction form
    15,226.16/22,843.13 = 6,338.54/x
  3. Step 3: Cross multiply
    15,226.16x = 22,843.13 × 6,338.54
  4. Step 4: Simplify right side
    15,226.16x = 144,792,115.49
  5. Step 5: Solve for x
    x = 144,792,115.49/15,226.16
  6. Step 6: Final answer
    x = 9,509.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.